Pith Number

pith:ZLUVXFY6

pith:2015:ZLUVXFY65DDA2S7ZZHJAJD3E3I

not attested not anchored not stored refs pending

Role of the Finite Replica Analysis in the Mean-Field Theory of Spin Glasses

Tomoyuki Obuchi

arxiv:1508.05225 v1 · 2015-08-21 · cond-mat.stat-mech

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZLUVXFY65DDA2S7ZZHJAJD3E3I}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:34:56.390801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cae95b971ee8c60d4bf9c9d2048f64da1bc65f698f77247765de7971d22c7f49

Aliases

arxiv: 1508.05225 · arxiv_version: 1508.05225v1 · doi: 10.48550/arxiv.1508.05225 · pith_short_12: ZLUVXFY65DDA · pith_short_16: ZLUVXFY65DDA2S7Z · pith_short_8: ZLUVXFY6

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZLUVXFY65DDA2S7ZZHJAJD3E3I \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: cae95b971ee8c60d4bf9c9d2048f64da1bc65f698f77247765de7971d22c7f49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab4b9965f3d5b96f5f6c98cec46a6861e45d6019ba701eb9c2a0de0858ff396b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-08-21T09:47:17Z",
    "title_canon_sha256": "b5c87d80585b9f9ad45e4a85875ef718d9277b5182cb7010f3d07bee7fadb99c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05225",
    "kind": "arxiv",
    "version": 1
  }
}